The frigate Middelburg, with 28 guns, in 1665

Has anyone know anything about a small frigate Middelburg that was mentioned along with the frigate Leiderdorp in 1665? The Middelburg and Leiderdorp seem to have been similar ships, both carrying 28 guns and having crews of 120 men. They both were used by the Admiralty of Amsterdam. There was another, larger ship named Middelburg that was also used by the Admiralty of Amsterdam. This was a ship probably built in 1659 and was the ship commanded by Willem van der Zaan in 1661 when he captured a Turkish pirate ship. The ship Middelburg, built in about 1659, was the ship burnt at Tobago in 1677.